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Recent research has observed the occurrence of pseudo-mobility edge (ME) within a modulated mosaic model incorporating the Wannier-Stark potential. This pseudo-ME, which signifies the critical energy that distinguishes between ergodic and…

Mesoscale and Nanoscale Physics · Physics 2024-07-25 Xiang-Ping Jiang , Xuanpu Yang , Yayun Hu , Lei Pan

The many-body mobility edge (MBME) in energy, which separates thermal states from many-body localization (MBL) states, is a critical yet controversial concept in MBL physics. Here we examine the quasiperiodic $t_1-t_2$ model that features a…

Disordered Systems and Neural Networks · Physics 2025-05-23 Yutao Hu , Chao Yang , Yucheng Wang

The interplay between dissipation and localization in quantum systems has garnered significant attention due to its potential to manipulate transport properties and induce phase transitions. In this work, we explore the dissipation-induced…

Quantum Physics · Physics 2025-04-15 Mingdi Xu , Zijun Wei , Xiang-Ping Jiang , Lei Pan

Mobility edges (MEs) constitute the energies separating the localized states from the extended ones in disordered systems. Going beyond this conventional definition, recent proposal suggests for an ME which separates the localized and…

Quantum Gases · Physics 2025-03-26 Sanchayan Banerjee , Soumya Ranjan Padhi , Tapan Mishra

Mobility edges (ME), separating Anderson-localized states from extended states, are known to arise in the single-particle energy spectrum of certain one-dimensional lattices with aperiodic order. Dephasing and decoherence effects are widely…

Quantum Physics · Physics 2025-04-10 Stefano Longhi

The mobility edge (ME) is a fundamental concept in the Anderson localized systems, which marks the energy separating extended and localized states. Although the ME and localization phenomena have been extensively studied in non-Hermitian…

Disordered Systems and Neural Networks · Physics 2025-09-10 Xiang-Ping Jiang , Zhende Liu , Yayun Hu , Lei Pan

Dissipation is traditionally regarded as a disruptive factor in quantum systems because it often leads to decoherence and delocalization. However, recent insights into engineered dissipation reveal that it can be tuned to facilitate various…

Quantum Physics · Physics 2026-02-03 Shilpi Roy , Jiangbin Gong

The mobility edge (ME) is a crucial concept in understanding localization physics, marking the critical transition between extended and localized states in the energy spectrum. Anderson localization scaling theory predicts the absence of ME…

The key concept of mobility edge, which marks the critical transition between extended and localized states in energy domain, has attracted significant interest in the cutting-edge frontiers of modern physics due to its profound…

Disordered Systems and Neural Networks · Physics 2025-09-25 Li Wang , Zhenbo Wang , Jiaqi Liu , Shu Chen

Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict…

Quantum Physics · Physics 2018-06-06 Andre M. C. Souza , Roberto. F. S. Andrade

Conventionally a mobility edge (ME) marks a critical energy that separates two different transport zones where all states are extended and localized, respectively. Here we propose a novel quasiperiodic spin-orbit coupled lattice model with…

Disordered Systems and Neural Networks · Physics 2022-11-01 Yucheng Wang , Long Zhang , Wei Sun , Ting-Fung Jeffrey Poon , Xiong-Jun Liu

A mobility edge (ME) in energy separating extended from localized states is a central concept in understanding various fundamental phenomena like the metal-insulator transition in disordered systems. In one-dimensional quasiperiodic…

Disordered Systems and Neural Networks · Physics 2021-05-26 Yucheng Wang , Xu Xia , Yongjian Wang , Zuohuan Zheng , Xiong-jun Liu

Mobility edges (ME), defined as critical energies that separate the extended states from the localized states, are a significant topic in quantum physics. In this paper, we demonstrate the existence of two exact new mobility edges for two…

Dynamical Systems · Mathematics 2025-01-30 Yongjian Wang , Qi Zhou

Conventionally the mobility edge (ME) separating extended states from localized ones is a central concept in understanding Anderson localization transition. The critical state, being delocalized and non-ergodic, is a third type of…

Disordered Systems and Neural Networks · Physics 2022-11-17 Yucheng Wang

We investigate the probable delocalization-localization transition in open quantum systems with disorder. The disorder can induce localization in isolated quantum systems and it is generally recognized that localization is fragile under the…

Disordered Systems and Neural Networks · Physics 2025-05-28 Xuanpu Yang , Xiang-Ping Jiang , Zijun Wei , Yucheng Wang , Lei Pan

Mobility edge (ME) has played an essential role in disordered models. However, while this concept has been well established in disordered single-particle models, its existence in disordered many-body models is still under controversy. Here,…

Disordered Systems and Neural Networks · Physics 2023-07-06 Xiaoshui Lin , Ming Gong , Guang-Can Guo

The metal-insulator transition (MIT) observed in two-dimensional (2D) systems is apparently contradictory to the well known scaling theory of localization. By investigating the conductance of disordered one-dimensional systems with a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Junren Shi , X. C. Xie

The quantum Mpemba effect in open quantum systems has been extensively studied, but a comprehensive understanding of this phenomenon remains elusive. In this paper, we conduct an analytical investigation of the dissipative dynamics of…

Quantum Physics · Physics 2025-02-19 J. W. Dong , H. F. Mu , M. Qin , H. T. Cui

We study a one-dimensional quasiperiodic tight-binding model with simultaneous off-diagonal (hopping) and diagonal (onsite) modulations. Using the inverse participation ratio and the wave-packet centroid, we construct…

Disordered Systems and Neural Networks · Physics 2026-01-27 Ao Zhou , Feng Lu , Shujie Cheng , Gao Xianlong

In this work, the exact dynamics of excitation in the generalized Aubry-Andr\'{e}-Harper model coupled with an Ohmic-type environment is discussed by evaluating the survival probability and inverse participation ratio of the state of…

Quantum Physics · Physics 2022-07-28 H. T. Cui , M. Qin , L. Tang , H. Z. Shen , X. X. Yi
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